2可光滑空间中的拟鞅变换

2可光滑空间中的拟鞅变换 QUASIMARTINGLE TRANSFORMS IN 2-UNIFORMLY SMOOTHABLE SPACES 张正敏 Zhang Zhengmin 1 first-author 武汉大学数学系 武汉大学数学系 Department of Mathematics, Wuhan University Department of Mathematics, Wuhan University Ｂｕｒｋｈｏｌｄｅｒ利用Ｐｉｓｉｅｒ关于一致凸空间中鞅的结果讨论了空间的２可光滑性与鞅变换的一些性质之间的等价关系，本文证明了在２可光滑空间中拟鞅变换具有类似于鞅变换的一些性质，从而推广了Ｂｕｒｋｈｏｌｄｅｒ－Ｐｉｓｉｅｒ定理． Properties of quasimartingale transforms in 2-uniformly smoothable spaces are Studied,and the analogue of Burholder-Pisier theorem is proved to hold for quasimartingale transforms, soBurkholder-Pisier theorem is extended to the case of quasimartingale transforms. 2可光滑空间 Burkholder－Pisier定理 p拟鞅 拟鞅交换 O211.6 1994-02-01 2021-04-01 2